# Calculus

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If the integral from a to b of f(x)dx=a+2b then integral from a to b of (f(x)+3)dx= ?

How do I get to that answer??

• Calculus -

integral of (f(x) + 3)dx = integral of f(x)dx + integral of 3dx

• Calculus -

integral from a to b of (f(x)+3)dx
= integral from a to b of f(x)dx + 3(b-a)
= a + 2b +3b -3a
= 5b - 2a

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